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math.PR2026
From Triangular Array Progression to Near-Log-Concave State Transitions
Levent Ali Mengütürk
The paper introduces near-log-concave random variables and the state-transitions of a family of Markov chains derived from an algorithmic integer sequence progression. We propose a…
cs.IT2026
Isometric Invariant Quantification of Gaussian Divergence over Poincare Disc
Levent Ali Mengütürk
The paper presents a statistical geometric duality between the spherical squared-Hellinger distance and a hyperbolic isometric invariant of the Poincare disc under the action of th…